The work on the module ParametrizedSurface3d has been completed (see
Ticket #10132 on the SAGE developer track server). Many thanks to
Joris Vankerschaver <[email protected]> who made a lot of
code improvements as well as doctests.

Using this module one can find the main invariants of a surface given
by a parametric equation in the three-dimensional Euclidean space, as
well as find the geodesics and the result of the parallel transport
along a curve (numerically).

I would highly appreciate it if somebody could review the patch of
Ticket #10132.

The next step I plan to do is go one dimension down and write a
similar module for curves. Also, I suppose, a some work should be done
for surfaces given implicitely.

Mikhail Malakhaltsev

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